Please help! A drop of oil (volume 0.05 cm3) is released from a medicine dropper on to the calm surface of a pond where it spreads out to cover an area of 40 cm2. Assume that the oil film has a uniform thickness equal to the diameter of an oil molecule. Calculate the diameter of an oil molecule.
The volume of the drop has to be the area of the film x thickness.
Set area x thickness = given volume and solve for thickeness.
Thanks Bob I'll get to calculating!
You're welcome! Let's work through the calculation step by step.
First, we need to find the thickness of the oil film. We can do this by setting the area of the film multiplied by the thickness equal to the given volume.
Given:
- Area of the film = 40 cm^2
- Volume of the drop = 0.05 cm^3
Let's assume the thickness of the oil film is "t" (in cm). We can write the equation as:
Area x Thickness = Volume
(40 cm^2) x (t cm) = 0.05 cm^3
Now, solve the equation for the thickness of the oil film, "t":
40t = 0.05
t = 0.05 / 40
t = 0.00125 cm
So, the thickness of the oil film is 0.00125 cm.
Now, let's move on to finding the diameter of an oil molecule. We were given that the thickness of the oil film is equal to the diameter of an oil molecule.
Therefore, the diameter of an oil molecule is equal to the thickness of the oil film.
Therefore, the diameter of an oil molecule is 0.00125 cm.
I hope this helps with your calculation! Let me know if you have any further questions.